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Finding the Fourth Proportional to 953.31, 1,429.94 and 694.95

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Solution

The fourth proportional to 953.31, 1,429.94 and 694.95 is: 1,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.31 : 1,429.94 = 694.95 : x
  2. Step 2: Convert to fraction form
    953.31/1,429.94 = 694.95/x
  3. Step 3: Cross multiply
    953.31x = 1,429.94 × 694.95
  4. Step 4: Simplify right side
    953.31x = 993,731.39
  5. Step 5: Solve for x
    x = 993,731.39/953.31
  6. Step 6: Final answer
    x = 1,042.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.